1. Nonperturbative four-gluon vertex in soft kinematics
- Author
-
Aguilar, A. C., De Soto, F., Ferreira, M. N., Papavassiliou, J., Pinto-Gómez, F., Rodríguez-Quintero, J., and Santos, L. R.
- Subjects
High Energy Physics - Phenomenology ,High Energy Physics - Lattice ,High Energy Physics - Theory ,Nuclear Theory - Abstract
We present a nonperturbative study of the form factor associated with the projection of the full four-gluon vertex on its classical tensor, for a set of kinematics with one vanishing and three arbitrary external momenta. The treatment is based on the Schwinger-Dyson equation governing this vertex, and a large-volume lattice simulation, involving ten thousand gauge field configurations. The key hypothesis employed in both approaches is the ``planar degeneracy'', which classifies diverse configurations by means of a single variable, thus enabling their meaningful ``averaging''. The results of both approaches show notable agreement, revealing a considerable suppression of the averaged form factor in the infrared. The deviations from the exact planar degeneracy are discussed in detail, and a supplementary variable is used to achieve a more accurate description. The effective charge defined through this special form factor is computed within both approaches, and the results obtained are in excellent agreement., Comment: 8 pages, 7 figures
- Published
- 2024